Testing Explanations of the $B\toϕK^*$ Polarization Puzzle

dc.creatorDatta, Alakabha
dc.creatorGritsan, Andrei V.
dc.creatorLondon, David
dc.creatorNagashima, Makiko
dc.creatorSzynkman, Alejandro
dc.date2007-05-26
dc.date2007-07-21
dc.date.accessioned2026-07-07T10:55:52Z
dc.date.available2026-07-07T10:55:52Z
dc.description$B\toϕK^*$ ($\btos$) is three separate decays, one for each polarization of the final-state vector mesons (one longitudinal, two transverse). It is observed that the fraction of transverse decays, $\fT$, and the fraction of longitudinal decays, $\fL$, are roughly equal: $\fTfL \simeq 1$, in opposition to the naive expectation that $\fT \ll \fL$. If one requires a single explanation of all polarization puzzles, two possibilities remain within the standard model: penguin annihilation and rescattering. In this paper we examine the predictions of these two explanations for $\fTfL$ in $\btod$ decays. In $B \to ρρ$ decays, only $\bd \to ρ^0ρ^0$ can possibly exhibit a large $\fTfL$. In B decays related by U-spin, we find two promising possibilities: (i) $B^+ \to K^{*0} ρ^+$ ($\btos$) and $B^+ \to \Kbar^{*0} K^{*+}$ ($\btod$) and (ii) $\bs \to K^{*0} \Kbar^{*0}$ ($\btos$) and $\bd \to \Kbar^{*0} K^{*0}$ ($\btod$). The measurement of $\fTfL$ in these pairs of decays will allow us to test penguin annihilation and rescattering. Finally, it is possible to distinguish penguin annihilation from rescattering by performing a time-dependent angular analysis of $\bd \to \Kbar^{*0} K^{*0}$.
dc.description15 pages, 2 figures. Added reference and PACS numbers. To appear in PRD
dc.identifierhttps://arxiv.org/abs/0705.3915
dc.identifierhttp://arxiv.org/abs/0705.3915
dc.identifierPhys.Rev.D76:034015,2007
dc.identifierdoi:10.1103/PhysRevD.76.034015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186222
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleTesting Explanations of the $B\toϕK^*$ Polarization Puzzle
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